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Fill up the missing digit. If (220)a = (90)b then (451)a = ( )10 |
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Answer» It contains 2 & 9, so a and b 2, b 8. The values of a can be 8 or 19. The values of b can be 10 or 16, L.H.S > R.H.S. a The possible values of a and b are given below
Let a = 8 and b = 10
ie.(220)8 ≠ (90)10 So a ≠ 8 or b ≠ 10 Case II: Let a = 8 and b = 16 (220)8 = 2x82 +2x81 + 0x80 =128+16 = (144)10 (90)16 = 9x161 + 0x160 = (144)10 So a = 8 and b = 16 Then (451)8 = 4x82 + 5x81 + 1x80 =4x64 + 5x8 + 1 256 + 40 + 1 = (297)10 |
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